$($a$).$ Define proposition and provide $2$ examples $($Note: Avoid using the examples given in this question paper$).$ State the use$/$applications of propositional logic

$($b$).$ Identify which of the statements are proposition & which are non$-$proposition:

$\backslash$table$[[($i$)$ The Earth orbits the Sun.,$($ii$)$ The tallest person in the room.$],[($iii$)$ What is your name?,$($iv$)x+100=101$